1. Network Layer4-1 Chapter 4: Network Layer r 4. 1 Introduction r 4.2 Virtual circuit and datagram networks r 4.3 What’s inside a router r 4.4 IP: Internet Protocol m Datagram format m IPv4 addressing m ICMP m IPv6 r 4.5 Routing algorithms m Link state m Distance Vector m Hierarchical routing r 4.6 Routing in the Internet m RIP m OSPF m BGP

2. Network Layer4-2 1 2 3 0111 value in arriving packet’s header routing algorithm local forwarding table header value output link 0100 0101 0111 1001 32213221 Interplay between routing, forwarding

3. Network Layer4-3 u y x wv z 2 2 1 3 1 1 2 5 3 5 Graph: G = (N,E) N = set of routers = { u, v, w, x, y, z } E = set of links ={ (u,v), (u,x), (v,x), (v,w), (x,w), (x,y), (w,y), (w,z), (y,z) } Graph abstraction Remark: Graph abstraction is useful in other network contexts Example: P2P, where N is set of peers and E is set of TCP connections

4. Network Layer4-4 Graph abstraction: costs u y x wv z 2 2 1 3 1 1 2 5 3 5 c(x,x’) = cost of link (x,x’) - e.g., c(w,z) = 5 cost could always be 1, or inversely related to bandwidth, or inversely related to congestion Cost of path (x 1, x 2, x 3,…, x p ) = c(x 1,x 2 ) + c(x 2,x 3 ) + … + c(x p-1,x p ) Question: What’s the least-cost path between u and z ? Routing algorithm: algorithm that finds least-cost path

5. Network Layer4-5 Routing Algorithm classification Global or decentralized information? Global: r all routers have complete topology, link cost info r “link state” algorithms Decentralized: r router knows physically- connected neighbors, link costs to neighbors r iterative process of computation, exchange of info with neighbors r “distance vector” algorithms Static or dynamic? Static: r routes change slowly over time Dynamic: r routes change more quickly m periodic update m in response to link cost changes

6. Network Layer4-6 Chapter 4: Network Layer r 4. 1 Introduction r 4.2 Virtual circuit and datagram networks r 4.3 What’s inside a router r 4.4 IP: Internet Protocol m Datagram format m IPv4 addressing m ICMP m IPv6 r 4.5 Routing algorithms m Link state m Distance Vector m Hierarchical routing r 4.6 Routing in the Internet m RIP m OSPF m BGP

7. Network Layer4-7 A Link-State Routing Algorithm Dijkstra’s algorithm r net topology, link costs known to all nodes m accomplished via “link state broadcast” m all nodes have same info r computes least cost paths from one node (‘source”) to all other nodes m gives forwarding table for that node r iterative: after k iterations, know least cost path to k dest.’s Notation:  c(x,y): link cost from node x to y; = ∞ if not direct neighbors  D(v): current value of cost of path from source to dest. v  p(v): predecessor node along path from source to v  N': set of nodes whose least cost path definitively known

8. Network Layer4-8 Dijkstra’s Algorithm 1 Initialization: 2 N' = {u} 3 for all nodes v 4 if v adjacent to u 5 then D(v) = c(u,v) 6 else D(v) = ∞ 7 8 Loop 9 find w not in N' such that D(w) is a minimum 10 add w to N' 11 update D(v) for all v adjacent to w and not in N' : 12 D(v) = min( D(v), D(w) + c(w,v) ) 13 /* new cost to v is either old cost to v or known 14 shortest path cost to w plus cost from w to v */ 15 until all nodes in N'

9. Network Layer4-9 Dijkstra’s algorithm: example Step 0 1 2 3 4 5 N' u ux uxy uxyv uxyvw uxyvwz D(v),p(v) 2,u D(w),p(w) 5,u 4,x 3,y D(x),p(x) 1,u D(y),p(y) ∞ 2,x D(z),p(z) ∞ 4,y u y x wv z 2 2 1 3 1 1 2 5 3 5

10. Network Layer4-10 Dijkstra’s algorithm: example (2) u y x wv z Resulting shortest-path tree from u: v x y w z (u,v) (u,x) destination link Resulting forwarding table in u:

11. Network Layer4-11 Dijkstra’s algorithm, discussion Algorithm complexity: n nodes r each iteration: need to check all nodes, w, not in N r n(n+1)/2 comparisons: O(n 2 ) r more efficient implementations possible: O(nlogn) Oscillations possible: r e.g., link cost = amount of carried traffic A D C B 1 1+e e 0 e 1 1 0 0 A D C B 2+e 0 0 0 1+e 1 A D C B 0 2+e 1+e 1 0 0 A D C B 2+e 0 e 0 1+e 1 initially … recompute routing … recompute

12. Network Layer4-12 Chapter 4: Network Layer r 4. 1 Introduction r 4.2 Virtual circuit and datagram networks r 4.3 What’s inside a router r 4.4 IP: Internet Protocol m Datagram format m IPv4 addressing m ICMP m IPv6 r 4.5 Routing algorithms m Link state m Distance Vector m Hierarchical routing r 4.6 Routing in the Internet m RIP m OSPF m BGP

13. Network Layer4-13 Distance Vector Algorithm Bellman-Ford Equation (dynamic programming) Define d x (y) := cost of least-cost path from x to y Then d x (y) = min {c(x,v) + d v (y) } where min is taken over all neighbors v of x v

14. Network Layer4-14 Bellman-Ford example u y x wv z 2 2 1 3 1 1 2 5 3 5 Clearly, d v (z) = 5, d x (z) = 3, d w (z) = 3 d u (z) = min { c(u,v) + d v (z), c(u,x) + d x (z), c(u,w) + d w (z) } = min {2 + 5, 1 + 3, 5 + 3} = 4 Node that achieves minimum is next hop in shortest path ➜ forwarding table B-F equation says:

15. Network Layer4-15 Distance Vector Algorithm r D x (y) = estimate of least cost from x to y r Node x knows cost to each neighbor v: c(x,v) r Node x maintains distance vector D x = [D x (y): y є N ] r Node x also maintains its neighbors’ distance vectors m For each neighbor v, x maintains D v = [D v (y): y є N ]

16. Network Layer4-16 Distance vector algorithm Basic idea: r From time-to-time, each node sends its own distance vector estimate to neighbors r Asynchronous r When a node x receives new DV estimate from neighbor, it updates its own DV using B-F equation: D x (y) ← min v {c(x,v) + D v (y)} for each node y ∊ N  Under minor, natural conditions, the estimate D x (y) converge to the actual least cost d x (y)

17. Network Layer4-17 Distance Vector Algorithm Iterative, asynchronous: each local iteration caused by: r local link cost change r DV update message from neighbor Distributed: r each node notifies neighbors only when its DV changes m neighbors then notify their neighbors if necessary wait for (change in local link cost or msg from neighbor) recompute estimates if DV to any dest has changed, notify neighbors Each node:

18. Network Layer4-18 x y z x y z 0 2 7 ∞∞∞ ∞∞∞ from cost to from x y z x y z 0 from cost to x y z x y z ∞∞ ∞∞∞ cost to x y z x y z ∞∞∞ 710 cost to ∞ 2 0 1 ∞ ∞ ∞ 2 0 1 7 1 0 time x z 1 2 7 y node x table node y table node z table D x (y) = min{c(x,y) + D y (y), c(x,z) + D z (y)} = min{2+0, 7+1} = 2 D x (z) = min{c(x,y) + D y (z), c(x,z) + D z (z)} = min{2+1, 7+0} = 3 32

19. Network Layer4-19 x y z x y z 0 2 7 ∞∞∞ ∞∞∞ from cost to from x y z x y z 0 2 3 from cost to x y z x y z 0 2 3 from cost to x y z x y z ∞∞ ∞∞∞ cost to x y z x y z 0 2 7 from cost to x y z x y z 0 2 3 from cost to x y z x y z 0 2 3 from cost to x y z x y z 0 2 7 from cost to x y z x y z ∞∞∞ 710 cost to ∞ 2 0 1 ∞ ∞ ∞ 2 0 1 7 1 0 2 0 1 7 1 0 2 0 1 3 1 0 2 0 1 3 1 0 2 0 1 3 1 0 2 0 1 3 1 0 time x z 1 2 7 y node x table node y table node z table D x (y) = min{c(x,y) + D y (y), c(x,z) + D z (y)} = min{2+0, 7+1} = 2 D x (z) = min{c(x,y) + D y (z), c(x,z) + D z (z)} = min{2+1, 7+0} = 3

20. Network Layer4-20 Distance Vector: link cost changes Link cost changes: r node detects local link cost change r updates routing info, recalculates distance vector r if DV changes, notify neighbors “good news travels fast” x z 1 4 50 y 1 At time t 0, y detects the link-cost change, updates its DV, and informs its neighbors. At time t 1, z receives the update from y and updates its table. It computes a new least cost to x and sends its neighbors its DV. At time t 2, y receives z’s update and updates its distance table. y’s least costs do not change and hence y does not send any message to z.

21. Network Layer4-21 Distance Vector: link cost changes Link cost changes: r good news travels fast r bad news travels slow - “count to infinity” problem! r 44 iterations before algorithm stabilizes: see text Poisoned reverse: r If Z routes through Y to get to X : m Z tells Y its (Z’s) distance to X is infinite (so Y won’t route to X via Z) r will this completely solve count to infinity problem? x z 1 4 50 y 60

22. Network Layer4-22 Comparison of LS and DV algorithms Message complexity r LS: with n nodes, E links, O(nE) msgs sent r DV: exchange between neighbors only m convergence time varies Speed of Convergence r LS: O(n 2 ) algorithm requires O(nE) msgs m may have oscillations r DV: convergence time varies m may be routing loops m count-to-infinity problem Robustness: what happens if router malfunctions? LS: m node can advertise incorrect link cost m each node computes only its own table DV: m DV node can advertise incorrect path cost m each node’s table used by others error propagate thru network

23. Network Layer4-23 Chapter 4: Network Layer r 4. 1 Introduction r 4.2 Virtual circuit and datagram networks r 4.3 What’s inside a router r 4.4 IP: Internet Protocol m Datagram format m IPv4 addressing m ICMP m IPv6 r 4.5 Routing algorithms m Link state m Distance Vector m Hierarchical routing r 4.6 Routing in the Internet m RIP m OSPF m BGP

24. Network Layer4-24 Some Announcements r Handin m Zip and email code as an attachment to both TA and the instructor r Project 3 cancelled r Project 2 coming up (due May 1 st ) m What to do if your project 1 is incomplete m

25. Network Layer4-25 Hierarchical Routing scale: with 200 million destinations: r can’t store all dest’s in routing tables! r routing table exchange would swamp links! administrative autonomy r internet = network of networks r each network admin may want to control routing in its own network Our routing study thus far - idealization r all routers identical r network “flat” … not true in practice

26. Network Layer4-26 Hierarchical Routing r aggregate routers into regions, “autonomous systems” (AS) r routers in same AS run same routing protocol m “intra-AS” routing protocol m routers in different AS can run different intra- AS routing protocol Gateway router r Direct link to router in another AS

27. Network Layer4-27 3b 1d 3a 1c 2a AS3 AS1 AS2 1a 2c 2b 1b Intra-AS Routing algorithm Inter-AS Routing algorithm Forwarding table 3c Interconnected ASes r forwarding table configured by both intra- and inter-AS routing algorithm m intra-AS sets entries for internal dests m inter-AS & intra-As sets entries for external dests

28. Network Layer4-28 3b 1d 3a 1c 2a AS3 AS1 AS2 1a 2c 2b 1b 3c Inter-AS tasks r suppose router in AS1 receives datagram destined outside of AS1: m router should forward packet to gateway router, but which one? AS1 must: 1. learn which dests are reachable through AS2, which through AS3 2. propagate this reachability info to all routers in AS1 Job of inter-AS routing!

29. Network Layer4-29 Example: Setting forwarding table in router 1d r suppose AS1 learns (via inter-AS protocol) that subnet x reachable via AS3 (gateway 1c) but not via AS2. r inter-AS protocol propagates reachability info to all internal routers. r router 1d determines from intra-AS routing info that its interface I is on the least cost path to 1c. m installs forwarding table entry (x,I) 3b 1d 3a 1c 2a AS3 AS1 AS2 1a 2c 2b 1b 3c x …

30. Network Layer4-30 Example: Choosing among multiple ASes r now suppose AS1 learns from inter-AS protocol that subnet x is reachable from AS3 and from AS2. r to configure forwarding table, router 1d must determine towards which gateway it should forward packets for dest x. m this is also job of inter-AS routing protocol! 3b 1d 3a 1c 2a AS3 AS1 AS2 1a 2c 2b 1b 3c x … …

31. Network Layer4-31 Learn from inter-AS protocol that subnet x is reachable via multiple gateways Use routing info from intra-AS protocol to determine costs of least-cost paths to each of the gateways Hot potato routing: Choose the gateway that has the smallest least cost Determine from forwarding table the interface I that leads to least-cost gateway. Enter (x,I) in forwarding table Example: Choosing among multiple ASes r now suppose AS1 learns from inter-AS protocol that subnet x is reachable from AS3 and from AS2. r to configure forwarding table, router 1d must determine towards which gateway it should forward packets for dest x. m this is also job of inter-AS routing protocol! r hot potato routing: send packet towards closest of two routers.

32. Network Layer4-32 Chapter 4: Network Layer r 4. 1 Introduction r 4.2 Virtual circuit and datagram networks r 4.3 What’s inside a router r 4.4 IP: Internet Protocol m Datagram format m IPv4 addressing m ICMP m IPv6 r 4.5 Routing algorithms m Link state m Distance Vector m Hierarchical routing r 4.6 Routing in the Internet m RIP m OSPF m BGP

33. Network Layer4-33 Intra-AS Routing r also known as Interior Gateway Protocols (IGP) r most common Intra-AS routing protocols: m RIP: Routing Information Protocol m OSPF: Open Shortest Path First m IGRP: Interior Gateway Routing Protocol (Cisco proprietary)

34. Network Layer4-34 Chapter 4: Network Layer r 4. 1 Introduction r 4.2 Virtual circuit and datagram networks r 4.3 What’s inside a router r 4.4 IP: Internet Protocol m Datagram format m IPv4 addressing m ICMP m IPv6 r 4.5 Routing algorithms m Link state m Distance Vector m Hierarchical routing r 4.6 Routing in the Internet m RIP m OSPF m BGP

35. Network Layer4-35 RIP ( Routing Information Protocol) r distance vector algorithm r included in BSD-UNIX Distribution in 1982 r distance metric: # of hops (max = 15 hops) D C BA u v w x y z destination hops u 1 v 2 w 2 x 3 y 3 z 2 From router A to subnets:

36. Network Layer4-36 RIP advertisements r distance vectors: exchanged among neighbors every 30 sec via Response Message (also called advertisement) r each advertisement: list of up to 25 destination subnets within AS

37. Network Layer4-37 RIP: Example Destination Network Next Router Num. of hops to dest. wA2 yB2 zB7 x--1 ….…..... w xy z A C D B Routing/Forwarding table in D

38. Network Layer4-38 RIP: Example Destination Network Next Router Num. of hops to dest. wA2 yB2 zB A7 5 x--1 ….…..... Routing/Forwarding table in D w xy z A C D B Dest Next hops w - 1 x - 1 z C 4 …. …... Advertisement from A to D

39. Network Layer4-39 RIP: Link Failure and Recovery If no advertisement heard after 180 sec --> neighbor/link declared dead m routes via neighbor invalidated m new advertisements sent to neighbors m neighbors in turn send out new advertisements (if tables changed) m link failure info quickly (?) propagates to entire net m poison reverse used to prevent ping-pong loops (infinite distance = 16 hops)

40. Network Layer4-40 RIP Table processing r RIP routing tables managed by application-level process called route-d (daemon) r advertisements sent in UDP packets, periodically repeated physical link network forwarding (IP) table Transprt (UDP) routed physical link network (IP) Transprt (UDP) routed forwarding table

41. Network Layer4-41 Chapter 4: Network Layer r 4. 1 Introduction r 4.2 Virtual circuit and datagram networks r 4.3 What’s inside a router r 4.4 IP: Internet Protocol m Datagram format m IPv4 addressing m ICMP m IPv6 r 4.5 Routing algorithms m Link state m Distance Vector m Hierarchical routing r 4.6 Routing in the Internet m RIP m OSPF m BGP

42. Network Layer4-42 OSPF (Open Shortest Path First) r “open”: publicly available r uses Link State algorithm m LS packet dissemination m topology map at each node m route computation using Dijkstra’s algorithm r OSPF advertisement carries one entry per neighbor router r advertisements disseminated to entire AS (via flooding) m carried in OSPF messages directly over IP (rather than TCP or UDP

43. Network Layer4-43 OSPF “advanced” features (not in RIP) r security: all OSPF messages authenticated (to prevent malicious intrusion) r multiple same-cost paths allowed (only one path in RIP) r For each link, multiple cost metrics for different TOS (e.g., satellite link cost set “low” for best effort; high for real time) r integrated uni- and multicast support: m Multicast OSPF (MOSPF) uses same topology data base as OSPF r hierarchical OSPF in large domains.

44. Network Layer4-44 Hierarchical OSPF

45. Network Layer4-45 Hierarchical OSPF r two-level hierarchy: local area, backbone. m Link-state advertisements only in area m each nodes has detailed area topology; only know direction (shortest path) to nets in other areas. r area border routers: “summarize” distances to nets in own area, advertise to other Area Border routers. r backbone routers: run OSPF routing limited to backbone. r boundary routers: connect to other AS’s.

46. Network Layer4-46 Chapter 4: Network Layer r 4. 1 Introduction r 4.2 Virtual circuit and datagram networks r 4.3 What’s inside a router r 4.4 IP: Internet Protocol m Datagram format m IPv4 addressing m ICMP m IPv6 r 4.5 Routing algorithms m Link state m Distance Vector m Hierarchical routing r 4.6 Routing in the Internet m RIP m OSPF m BGP

47. Network Layer4-47 Internet inter-AS routing: BGP r BGP (Border Gateway Protocol): the de facto standard r BGP provides each AS a means to: 1. Obtain subnet reachability information from neighboring ASs. 2. Propagate reachability information to all AS- internal routers. 3. Determine “good” routes to subnets based on reachability information and policy. r allows subnet to advertise its existence to rest of Internet: “I am here”

48. Network Layer4-48 BGP basics r pairs of routers (BGP peers) exchange routing info over semi-permanent TCP connections: BGP sessions m BGP sessions need not correspond to physical links. r when AS2 advertises a prefix to AS1: m AS2 promises it will forward datagrams towards that prefix. m AS2 can aggregate prefixes in its advertisement 3b 1d 3a 1c 2a AS3 AS1 AS2 1a 2c 2b 1b 3c eBGP session iBGP session

49. Network Layer4-49 Distributing reachability info r using eBGP session between 3a and 1c, AS3 sends prefix reachability info to AS1. m 1c can then use iBGP do distribute new prefix info to all routers in AS1 m 1b can then re-advertise new reachability info to AS2 over 1b-to-2a eBGP session r when router learns of new prefix, it creates entry for prefix in its forwarding table. 3b 1d 3a 1c 2a AS3 AS1 AS2 1a 2c 2b 1b 3c eBGP session iBGP session

50. Network Layer4-50 Path attributes & BGP routes r advertised prefix includes BGP attributes. m prefix + attributes = “route” r two important attributes: m AS-PATH: contains ASs through which prefix advertisement has passed: e.g, AS 67, AS 17 m NEXT-HOP: indicates specific internal-AS router to next-hop AS. (may be multiple links from current AS to next-hop-AS) r when gateway router receives route advertisement, uses import policy to accept/decline.

51. Network Layer4-51 BGP route selection r router may learn about more than 1 route to some prefix. Router must select route. r elimination rules: 1. local preference value attribute: policy decision 2. shortest AS-PATH 3. closest NEXT-HOP router: hot potato routing 4. additional criteria

52. Network Layer4-52 BGP messages r BGP messages exchanged using TCP. r BGP messages: m OPEN: opens TCP connection to peer and authenticates sender m UPDATE: advertises new path (or withdraws old) m KEEPALIVE keeps connection alive in absence of UPDATES; also ACKs OPEN request m NOTIFICATION: reports errors in previous msg; also used to close connection

53. Network Layer4-53 BGP routing policy r A,B,C are provider networks r X,W,Y are customer (of provider networks) r X is dual-homed: attached to two networks m X does not want to route from B via X to C m.. so X will not advertise to B a route to C A B C W X Y legend : customer network: provider network

54. Network Layer4-54 BGP routing policy (2) r A advertises path AW to B r B advertises path BAW to X r Should B advertise path BAW to C? m No way! B gets no “revenue” for routing CBAW since neither W nor C are B’s customers m B wants to force C to route to w via A m B wants to route only to/from its customers! A B C W X Y legend : customer network: provider network

55. Network Layer4-55 Why different Intra- and Inter-AS routing ? Policy: r Inter-AS: admin wants control over how its traffic routed, who routes through its net. r Intra-AS: single admin, so no policy decisions needed Scale: r hierarchical routing saves table size, reduced update traffic Performance: r Intra-AS: can focus on performance r Inter-AS: policy may dominate over performance

56. Network Layer4-56 R1 R2 R3R4 in-network duplication duplicate Broadcast Routing r Deliver packets from source to all other nodes

57. Network Layer4-57 In-network duplication r Flooding: when node receives brdcst pckt, sends copy to all neighbors m Problems: cycles & broadcast storm r Controlled flooding: node only brdcsts pkt if it hasn’t brdcst same packet before m Node keeps track of pckt ids already brdcsted m Or reverse path forwarding (RPF): only forward pckt if it arrived on shortest path between node and source r Spanning tree m No redundant packets received by any node

58. Network Layer4-58 A B G D E c F Spanning Tree Any node can use the spanning tree to broadcast Eliminate redundant broadcast packets

59. Multicast Routing r Goal: Deliver packets from source to a subset of nodes